What Do You Know About Polyknights?

10 Questions | Total Attempts: 103

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What Do You Know About Polyknights? - Quiz

A polyknight is described as a plane geometric structure formed through the selection of the cells present in the square lattice that clearly shows the path of the chess knight. If you are willing to learn more, take this short, intelligent quiz and gain more knowledge about the subject matter.


Questions and Answers
  • 1. 
    In how many ways can polyominoes be distinguished? 
    • A. 

      3

    • B. 

      4

    • C. 

      5

    • D. 

      6

  • 2. 
    For n=5, how many free pentaknights do we have? 
    • A. 

      280

    • B. 

      290

    • C. 

      300

    • D. 

      310

  • 3. 
    For n=6, how many free pentaknights do we have? 
    • A. 

      2,680

    • B. 

      2,780

    • C. 

      2,880

    • D. 

      2,980

  • 4. 
    What makes free polyknights distinct? 
    • A. 

      Translation is a rigid transformation

    • B. 

      Reflection is a rigid transformation

    • C. 

      Reflection and translation are rigid transformations

    • D. 

      None of the properties is a rigid transformation

  • 5. 
    What makes one-sided polyknights distinct? 
    • A. 

      The pieces cannot be flipped over

    • B. 

      The pieces can be flipped over

    • C. 

      It has a unique piece

    • D. 

      The pieces are closely knitted together

  • 6. 
    What makes fixed polyknights distinct? 
    • A. 

      Pieces cannot be flipped or rotated

    • B. 

      Pieces can be flipped and rotated

    • C. 

      Pieces can be flipped but cannot be rotated

    • D. 

      Pieces can be rotated but not flipped

  • 7. 
    For n=1, how many one-sided polyknights do we have?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

  • 8. 
    For n=2, how many free polyknights do we have? 
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

  • 9. 
    For n=3, how many free polyknights do we have? 
    • A. 

      5

    • B. 

      6

    • C. 

      7

    • D. 

      8

  • 10. 
    For n=10, how many fixed polyknights do we have? 
    • A. 

      229,939,414

    • B. 

      57 494,308

    • C. 

      28,749,456

    • D. 

      5,513,338

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